Aligned magnetic field of two-phase mixed convection flow in dusty Casson fluid over a stretching sheet with Newtonian heating

Waini

et al. 2021

This paper aims to present the numerical study of a dusty micropolar fluid due to a stretching sheet with constant wall temperature. Using the suitable similarity transformation, the governing partial differential equations for two-phase flows of the fluid and the dust particles are reduced to the form of ordinary differential equations. The ordinary differential equations are then numerically analysed using the bvp4c function in the Matlab software. The validity of present numerical results was checked by comparing them with the previous study. The results graphically show the numerical solutions of velocity, temperature and microrotation distributions for several values of the material parameter K, fluid-particle interaction parameter and Prandtl number for both fluid and dust phase. The effect of microrotation is investigated and analysed as well. It is found that the distributions are significantly influenced by the investigated parameters for both phases.

Section: Introductionmentioning

confidence: 99%

Numerical Solution for Boundary Layer Flow of a Dusty Micropolar Fluid Due to a Stretching Sheet with Constant Wall Temperature

Dasman

Waini

et al. 2021

“…A non-Newtonian fluid is a fluid that does not obey Newton's law in which the viscosity will change to either liquid or more solid under stress. The most frequently highlighted mathematical model for non-Newtonian in the literature comprehend the Jeffrey fluid [19][20][21][22], Nanofluid [23][24][25], Viscoelastic fluid [26][27][28], Brinkman fluid [29][30][31], Casson fluid [32][33][34] and Williamson fluid models [35][36]. Even though the convective boundary layer flow has been widely explored, the review paper on different mathematical models with dissimilar boundary conditions, surface geometry, and method has been very scarce.…”

Section: Introductionmentioning

confidence: 99%

A Thematic Review on Mathematical Model for Convective Boundary Layer Flow

Haryatie

Syazwani

et al. 2021

Convection refers to the heat transfer that occurs between moving fluid and surface at a different temperature. Nowadays, there has been a great deal of interest in the convective boundary layer fluid flow problems. Despite its popularity, the review paper discussing the mathematical model for various fluid types regarding various geometry and boundary conditions has been observed to fall short. This review paper adopts a thematic review based on the mathematical model captured in published fluid flow problems from 2015 until 2020. The articles were analysed using thematic analysis ATLAS.ti 8 software. Using keyword search and filtering criteria from Scopus and Web of Science (WOS) databases, 198 peer-reviewed journal articles were identified. However, after the exclusion and inclusion processes, only 50 articles were reviewed as final articles. The thematic review of these articles has further identified 120 initial codes characterising the mathematical model, grouped into 7 clusters: Viscoelastic, Williamson, Casson, Brinkman, Jeffrey, Nanofluid and hybrid Nanofluid. The report from the code-to-document in ATLAS.ti 8 found that the boundary condition, geometry and method were highlighted in the literature. The outcomes of this study will benefit the future research direction to identify the gap for future studies, specifically in extending the mathematical model for fluid flow problems as well as choosing the suitable geometry and boundary condition.

“…Meanwhile, Gajjela and Nandkeolyar [7] concentrated on the viscous dissipation effect on dusty fluid and Koriko et al, [8] unravel the behaviour of fluid flow displayed by dusty Carreau nanofluid. A few more interesting results on non-Newtonian based fluid incorporated with dust particles for diverse situations have been acquired by many authors [9][10][11][12][13]. With regard to Jeffrey fluid, Kasim et al, [14] presented the solution of the aligned magnetic flow containing spherical particles over a vertical stretching sheet and in subsequent years, they took the initiative to measure the thermal radiation effect with similar condition [15].…”

Section: Introductionmentioning

confidence: 99%

Boundary Layer Flow of Dusty Williamson Fluid with Variable Viscosity Effect Over a Stretching Sheet

Syamilah

Zokri

et al. 2021

Numerical investigation of the boundary layer flow of Williamson fluid with the presence of dust particles over a stretching sheet is carried out by taking into account the variable viscosity effect and Newtonian heating boundary condition. The genuinely two-phase flow model which has been proved to be compatible to present the mutual relationship between non-Newtonian fluid and solid particles is considered in this present study. To be precise, the governing equations are initially transformed into ordinary differential equations through formulation process before proceeding further with the numerical computation by using Keller-box method. The resulting equations are then programmed in Matlab software. The obtained numerical results are validated with existing study found in open literature and a good agreement is achieved. The influence of pertinent parameters on velocity and temperature profiles, skin friction coefficient together with Nusselt number is presented in graphical and tabular forms. Results revealed that the increasing Williamson parameter decreases the fluid velocity of both fluid and dust phases. It is expected that the present numerical results could conceivably help in predicting the boundary layer problem arising in two-phase flow in the future.